格点规范理论欧氏路径积分的量子采样
Quantum sampling for the Euclidean path integral of lattice gauge theory
摘要：
虽然目前为止，在格点规范理论的量子计算中，哈密顿形式更受青睐，但路径积分形式决不是无用的。路径积分形式的优点是经典晶格模拟所积累的知识和经验，以及明显的洛伦兹不变性。我们在路径积分形式下讨论了格点规范理论的量子计算。我们利用量子抽样算法产生规范配置，并演示了$Z_2$格点规范理论的基准测试的四维超立方体。
英文摘要：
Although the Hamiltonian formalism is so far favored for quantum computation of lattice gauge theory, the path integral formalism would never be useless. The advantages of the path integral formalism are the knowledge and experience accumulated by classical lattice simulation and manifest Lorentz invariance. We discuss quantum computation of lattice gauge theory in the path integral formalism. We utilize a quantum sampling algorithm to generate gauge configurations, and demonstrate a benchmark test of $Z_2$ lattice gauge theory on a four-dimensional hypercube.
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